Matrix Operations

  1. Examples:

    1. $\begin{bmatrix}1 & 2 & 3\end{bmatrix} \cdot \begin{bmatrix}4 \\ 5 \\ 6\end{bmatrix} = 1\cdot4 + 2\cdot5 + 3\cdot6 = 32$

    2. $\begin{bmatrix}2 & -1\end{bmatrix} \cdot \begin{bmatrix}3 \\ 4\end{bmatrix} = 6 - 4 = 2$

    Fun Class Activity:
    1. Find two non-zero vectors whose inner product is $0$.
    2. What geometric relationship do they have?
These notes by Miriam Briskman are licensed under CC BY-NC 4.0 and based on sources.